Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 327, 990, 80, 115 i.e. 1 largest integer that divides all the numbers equally.
GCD of 327, 990, 80, 115 is 1
GCD(327, 990, 80, 115) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 327, 990, 80, 115 is 1
GCD(327, 990, 80, 115) = 1
Given Input numbers are 327, 990, 80, 115
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Greatest Common Divisior
We found the divisors of 327, 990, 80, 115 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 327, 990, 80, 115 is 1.
Therefore, GCD of numbers 327, 990, 80, 115 is 1
Given Input Data is 327, 990, 80, 115
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 327 is 3 x 109
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 115 is 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(327, 990) = 107910
GCD(327, 990) = ( 327 x 990 ) / 107910
GCD(327, 990) = 323730 / 107910
GCD(327, 990) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 80) = 240
GCD(3, 80) = ( 3 x 80 ) / 240
GCD(3, 80) = 240 / 240
GCD(3, 80) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 115
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 115) = 115
GCD(1, 115) = ( 1 x 115 ) / 115
GCD(1, 115) = 115 / 115
GCD(1, 115) = 1
GCD of 327, 990, 80, 115 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 327, 990, 80, 115?
GCD of 327, 990, 80, 115 is 1
2. Where do I get the detailed procedure to find GCD of 327, 990, 80, 115?
You can find a detailed procedure to find GCD of 327, 990, 80, 115 on our page.
3. How to find GCD of 327, 990, 80, 115 on a calculator?
You can find the GCD of 327, 990, 80, 115 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.